Lucas, 24, joined PSG from Sao Paulo in 2012 and is believed to have turned down interest from Man United to make the move to France, where he has won four straight league titles.
According to Ribeiro, Mourinho wanted the Brazilian at Real Madrid during the Portuguese's time at the Bernabeu, and that interest in Lucas still stands despite a switch of clubs.
"Who called Lucas Moura there [to Real Madrid]? It wasn't Florentino Perez who wanted Lucas Moura, it was Mourinho," Ribeiro told Bola da Vez. "Mourinho was and is passionate about Lucas Moura. So much so that now at Manchester he wants Lucas as well."
The winger scored 13 times in 55 appearances for PSG last season.